On the Mahler measure of the Coxeter polynomial of tensor products of algebras. (Q485069)

The Mahler measure of a polynomial \(p\) with complex coefficients is defined as \(M(p)=a_n\prod_{i=1}^n\max(1,|\lambda_i|)\), where \(\lambda_i\) are the roots of \(p\) and \(a_n\) is its leading coefficient. The Coxeter polynomial is the characteristic polynomial of the automorphism of the Grothendieck group of a finite dimensional algebra induced by the Auslander-Reiten translate. In the paper under review, the author provides upper and lower bounds of the Mahler measure of a tensor product of two algebras in terms of the Mahler measure of the factors and derives some consequences.